Bell Inequality, Einstein-Podolsky-Rosen Steering, and Quantum Metrology with Spinor Bose-Einstein Condensates

Tomasz Wasak and Jan Chwedeńczuk
Phys. Rev. Lett. 120, 140406 – Published 6 April 2018
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Abstract

We propose an experiment, where the Bell inequality is violated in a many-body system of massive particles. The source of correlated atoms is a spinor F=1 Bose-Einstein condensate residing in an optical lattice. We characterize the complete procedure—the local operations, the measurements, and the inequality—necessary to run the Bell test. We show how the degree of violation of the Bell inequality depends on the strengths of the two-body correlations and on the number of scattered pairs. We show that the system can be used to demonstrate the Einstein-Podolsky-Rosen paradox. Also, the scattered pairs are an excellent many-body resource for the quantum-enhanced metrology. Our results apply to any multimode system where the spin-changing collision drives the scattering into separate regions. The presented inquiry shows that such a system is versatile as it can be used for the tests of nonlocality, quantum metrology, and quantum information.

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  • Received 12 June 2017
  • Revised 20 February 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.140406

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Tomasz Wasak and Jan Chwedeńczuk

  • Faculty of Physics, University of Warsaw, ulica Pasteura 5, PL–02–093 Warszawa, Poland

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Issue

Vol. 120, Iss. 14 — 6 April 2018

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